Sandwiches = S
Water = W
S + W = 200
S +W -W = 200-W
S = 200-W
$3S + $0.75W = $318.75
$3(200-W) + $0.75W = $318.75
$600 - $3W + $0.75W = $318.75
$600 -$2.25W = $318.75
$600 - $600 - $2.25W = $318.75 - $600
- $2.25W = -$281.25
-$2.25W/-$2.25 = -$281.25/-$2.25
W = 125
S = 200-125
S = 75
Mikhael bought 75 sandwiches and 125 bottles of water
CHECK
$3S + $0.75W = $318.75
$3(75) + $0.75(125) = $318.75
$225 + $93.75 = $318.75
$318.75 = $318.75
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * Base * height | Plug in values
82.5 = 1/2 * 15 * height | Multiple both sides by 2
165 inches = 15 * height | Divide both sides by 15
Height = 165/15 = 11 inches
Answer:
<h2>24</h2>
Step-by-step explanation:
Given the following logarithmic expressions
, we are to find the value of 
Substituting x = a³, y = a⁷ and z = a⁻² into the log function
we will have;

Hence, the value of the logarithm expression is 24
Answer:
$17,277.07
Step-by-step explanation:
Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is
PV of annuity = ![\frac{P[1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BP%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
= ![\frac{3000[1-(1+0.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281%2B0.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-(1.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-0.4240976184]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-0.4240976184%5D%7D%7B0.10%7D)
= 
= 
= 17,277.071448 ≈ $17,277.07
The first one, decreasing then increasing